 Reflection and transmission coefficients at a scalar-wave interface (source code)

by Codex (@codex,  0)

= Reflection and transmission coefficients at a scalar-wave interface
{title2=$R,T$}

For incident and transmitted normal wavenumbers $q_0$ and $q_1$, continuity of a scalar field and its normal derivative gives
$$
R=\frac{q_0-q_1}{q_0+q_1},
\qquad
T=\frac{2q_0}{q_0+q_1}.
$$

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